Write an algebraic expression for the verbal expression:
seven less than a number (use q), squared

Answer:

84

Step-by-step explanation:

m∠CMT=101-54=47

m∠PMA=37, So

m∠PMA+m∠CMT=47+37=84

The sum of the angle ∠PMA + ∠CMT will be 84 so option (D) will be correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

In other words, the angle is the measurement of the angular distance. For instance, we have a meter and an inch for linear motion, but we don't have a measurement for angular rotation, therefore the angle is helpful in determining angular rotation.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The Angle of description has given below

∠CMT=101-54=47

∠PMA=37, means

∠PMA+∠CMT = 47+37 = 84 hence, 84 will be the correct answer.

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Answer:

[tex]x=1\frac{2}{9} +1\frac{1}{9}y[/tex]

Step-by-step explanation:

x - 3y + 8x - 7y = 5 + 6

9x - 10y = 11

9x - 10y + 10y = 11 + 10y

9x = 11 + 10y

9x ÷ 9 = 11 + 10y ÷ 9

[tex]x=1\frac{2}{9} +1\frac{1}{9}y[/tex]

Answer:

x = -1

y = -2

Step-by-step explanation:

x - 3y = 5     ----------------(I)

8x - 7y = 6 ----------(II)

Multiply equation (I) by (-8) and then add the two equations

(I)*(-8)     -8x + 24y = -40

(II)           8x   - 7y   = 6    {Now add and x will be eliminated}

                       17y = -34     {Divide both sides by 17}

                           y = -34/17

y = -2

Plugin  y  =-2 in equation (I)

x - 3*(-2) = 5

x  + 6 = 5         {Subtract 6 from both sides}

     x = 5 - 6

x = - 1

Using simple mathematical operations we know that Sunita's truly hourly wage is $38.

The four mathematical operations are functions that change one number into another by taking input values, or numbers, as inputs.

They include addition, subtraction, multiplication, and division.

So, she works nine hours a day, after all.

She worked 162 hours total over the course of 18 days, or 18 x 9 hours.

Also, it is understood that she gets one paid day off for every 18 hours worked.

She is therefore paid for nine hours each day.

She is compensated for a total of 19 x 9 = 171 hours.

She receives hourly pay of $36,

Her total compensation is 171 divided by 36, or $6156.

Actual wages = Total amount she was paid/Total hours she worked

= 6156/612

= 38

Therefore, using simple mathematical operations we know that Sunita's truly hourly wage is $38.

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Answer:

-4.68

Step-by-step explanation:

i hope this helps

0.12 - 4.8 = -4.68

Answer:

4.68

Step-by-step explanation:

Answer:

27 m

Step-by-step explanation:

We know that ABC = 42 degrees

and side length BC = 24m

tan42 = 24m/a

a = 24/tan42

a = 26.65m

round to nearest whole number

= 27 m

Answer:

12 or 16 m

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(14)

tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{GH}{FH}[/tex] = [tex]\frac{12}{5}[/tex]

(15)

sin G = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{FH}{FG}[/tex] = [tex]\frac{5}{13}[/tex]

Answer:

answer 2)  24[tex]\sqrt{5}[/tex]

Step-by-step explanation:

after the dilation pt D is (8,-32)

after the dilation pt E is (-16,16)

if you use the distance formula for these two points you get [tex]\sqrt{2880}[/tex] which simplifies to 24[tex]\sqrt{5}[/tex]

Answer:

C

Step-by-step explanation:

-3p – 4 + 4p + 8

Simplify by combining like terms

-3p + 4p = p

-4 + 8 = 4

The expression in it's simplest form would be p + 4

Answer:

The answer is C.

Step-by-step explanation:

-3p - 4 + 4p + 8 can be grouped into:

-3p + 4p - 4 + 8.

If you add the p's together and the numbers together, your answer should be:

p + 4.

Answer:

30.

3×4=12

12×5=60

60÷2=30

Answer:

[tex]x=2.[/tex]

Step-by-step explanation:

[tex]\text{Since Pythagoras Theorem, we have}\\10^2=x.(x+48)\\\Rightarrow x^2+48x=100\\\Rightarrow x^2+48x-100=0\\\Rightarrow x^2 -2x+50x-100=0\\\Rightarrow x.(x-2)+50.(x-2)=0\\\Rightarrow (x-2).(x+50)=0\\\Rightarrow x=2 \: \text{or} \: x=-50.\\\text{Since x is positive}\\\text{Therefore}, x=2.[/tex]

[tex]\\ \rm\Rrightarrow 10^2=x(x+48)[/tex]

[tex]\\ \rm\Rrightarrow 100=x^2+48x[/tex]

[tex]\\ \rm\Rrightarrow x^2+48x-100=0[/tex]

[tex]\\ \rm\Rrightarrow x^2+50x-2x-100=0[/tex]

[tex]\\ \rm\Rrightarrow x(x+50)-2(x+50)=0[/tex]

[tex]\\ \rm\Rrightarrow (x+50)(x-2)=0[/tex]

[tex]\\ \rm\Rrightarrow x=-50,2[/tex]

Distance must be positive

Answer:

6500

Step-by-step explanation:

y = 6500(0.875)^x

When bought x = 0

y = 6500(0.875)^0

A number raise to 0 equals 1

y = 6500 * 1

y = 6500

Answer:

I believe the answer is 1

Answer:

1/125

Step-by-step explanation:

5^-3

We know that a^-b = a/a^b

1/5^3

1/125

Answer:

[tex] \displaystyle {5}^{ - 3} = \boxed{\frac{1}{ 125} }[/tex]

Step-by-step explanation:

we would like to evaluate the following expression:

[tex] \displaystyle {5}^{ - 3} [/tex]

recall that,

[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } [/tex]

let x be 5 thus substitute:

[tex] \displaystyle {5}^{ - 3} = \frac{1}{ {5}^{3} } [/tex]

simplify:

[tex] \displaystyle {5}^{ - 3} = \boxed{\frac{1}{ 125} }[/tex]

Answer: Face

Step-by-step explanation: look at there face?

Answer:

I think D 24 but i am not sure

Answer:

B)12

Step-by-step explanation:

I took the test

Answer:

[tex]14 \: 26 \: 6.5[/tex]

14

26

6.5

Answer:

2.4

6 divided by 2.5= 2.4

Step-by-step explanation:

Hope this is correct, if not feel free to let me know and I can fix it. I'm sorry in advance if it is incorrect.

Answer:

The answer is indeed 2.4:

Step-by-step explanation:

Answer:

#3: 4

#7: >

#8: =

#9: >

#10: <

Step-by-step explanation:

1 decimeter = 10 centimeters

1 meter = 10 decimeters

1 kilometer = 1,000 meters

Answer:

[tex]2\sqrt{6}[/tex] = x

Step-by-step explanation:

We can use the Tan ratio to figure this out;

[tex]Tan(60) = \frac{x}{\sqrt{8} }[/tex]

Tan(60) * [tex]\sqrt{8}[/tex] = x

[tex]2\sqrt{6}[/tex] = x

Hope this helps!

Answer:

If they would both work at the same speed they would each take 4 hours to complete the room. So in total they would work 8 hours. But because Carl can finish three hours before Jennifer 3 hours of the eight already got to Jennifer. Then we divide the resting 5 hours by the two and then we have:

Jennifer:

3+2,5=5,5

Carl:

2,5

( if I am right)

Answer:

10

Step-by-step explanation:

10 is the greatest common factor that you can divide into both 40 and 50.

Answer:

10

Step-by-step explanation:

Try and find the prime factorization of 40 and 50.

40=2*2*2*5

50=2*5*5

Multiply the prime  factors that are common to both numbers.

2*5=10

Answer:

Step-by-step explanation:

X=-6

Answer:

the correct answer will be

x=-6

Answer:14=x

Step-by-step explanation:

Answer:

[tex]slope = \frac{4}{1} = 1 \\ y - intercept = 3 \\ \therefore \: \: y = 4x + 3[/tex]

==============================================

Work Shown:

SA = 2*pi*r^2 + 2*pi*r*h

SA = 2*3.14*(4)^2 + 2*3.14*4*9

SA = 326.56

Notes:

Answer:

[tex]326.56cm {}^{2} [/tex]

Answer:

75°

Step-by-step explanation:

180°-105°=75°

Hope this helps! :)

Answer:

75 degrees.

Step-by-step explanation:

The sum of both angles is 180 degrees, they are supplementary. Therefore, subtracting the measurement of the first angle from 180 will give you your answer.

180 - 105 = 75